What is the Least Common Multiple of 91080 and 91090?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 91080 and 91090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91080 and 91090, than apply into the LCM equation.

GCF(91080,91090) = 10
LCM(91080,91090) = ( 91080 × 91090) / 10
LCM(91080,91090) = 8296477200 / 10
LCM(91080,91090) = 829647720

Least Common Multiple (LCM) of 91080 and 91090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91080 and 91090. First we will calculate the prime factors of 91080 and 91090.

Prime Factorization of 91080

Prime Factorization of 91090

Now multiplying the highest exponent prime factors to calculate the LCM of 91080 and 91090.

LCM(91080,91090) = 2³ × 3² × 5¹ × 11¹ × 23¹ × 9109¹
LCM(91080,91090) = 829647720